One year, Super Bowl commercial time sold for $4.5 million for 30 seconds of air time.
What was the price per second. Round to the nearest cent.
If I take 4,500,000 and divide by 30, I get $150,000. I'm not sure this seems right though because there are 60 seconds in a minute, not 30. Does that matter?
Question b related to this is How much air time could you get that year for three million dollars? Assume that air time could be purchased in increments smaller than 30 seconds. Round to the nearest second. If I assume the $150,000 is correct for purposes of solving this, $3,000,000/$150,000 would equal 20, so would that be 20 minutes of air time?
4,500,000 /30 = 150,000
No, there is nothing about minutes in this problem
150,000 $/sec * t sec = 3,000,000
t = 3,000 / 150
t = 20 seconds
Again, nothing about minutes here, all is in seconds
Of course we happen to know that 20 seconds is 1/3 of a minute :)
To find the price per second of the Super Bowl commercial time, you're correct that you need to divide the total cost of $4.5 million by the number of seconds, not minutes.
Since you mentioned that there are 60 seconds in a minute, we need to convert the 30-second time slot to seconds.
30 seconds × 60 seconds/minute = 1,800 seconds
Now, you divide the total cost of $4.5 million by the number of seconds:
$4,500,000 ÷ 1,800 seconds = $2,500 per second
So, the price per second for the Super Bowl commercial time is $2,500, rounded to the nearest cent.
Now, let's move on to question b regarding the air time you could get for three million dollars. Assuming the price per second is $2,500 as calculated previously, we need to divide $3,000,000 by $2,500:
$3,000,000 ÷ $2,500 per second = 1,200 seconds
Therefore, with three million dollars, you could purchase approximately 1,200 seconds of air time.